(f o g o h)(x) = f { g [ h(x) ] }
Which means: apply first function h, then apply function g to the result, and finally apply function f to the new result.
h(25) = √25 = 5
g(5) = 5 - 3 = 2
f(2) = 3(2) = 6.
Answer: 6
the slope intercept form would be y
=
4
/5
x-4
You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15
The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.
Being able to write fractions in simplest form can make operations much easier. Also, to compare fractions, some may have to be in the simplest form.
